KK vs a cutoff opening range: Equity & Strategy

Pocket Kings (KK) has 76.7% equity all-in preflop against a cutoff opening range — 366 combos, 27.6% of all starting hands. It wins 76.3% of runouts outright, loses 22.9% and chops 0.8%. These are exact figures from full board enumeration against every unblocked combo in the range, not a simulation.

SideWinChopEquity
KK76.3%0.8%76.7%
a cutoff opening range22.9%0.8%23.3%

The range this is computed against

The cutoff opens roughly a quarter of hands: all pairs and suited aces, suited kings down to K5s, every suited connector and one-gapper, and offsuit broadways down to A8o / KTo / QJo / JTo. Two players behind instead of five is worth more than ten percentage points of width.

CO open — 366 combos, 27.6% of all starting hands: AA, KK, QQ, JJ, TT, 99, 88, 77, 66, 55, 44, 33, 22, AKs, AQs, AJs, ATs, A9s, A8s, A7s, A6s, A5s, A4s, A3s, A2s, KQs, KJs, KTs, K9s, K8s, K7s, K6s, K5s, QJs, QTs, Q9s, Q8s, JTs, J9s, J8s, T9s, T8s, T7s, 98s, 97s, 87s, 86s, 76s, 75s, 65s, 64s, 54s, AKo, AQo, AJo, ATo, A9o, A8o, KQo, KJo, KTo, QJo, JTo

After card removal, 319 of those 366 combos are still available (47 are blocked by the cards KK holds). KK is ahead of 312 and behind 7.

Hardest parts of the range for KK

HandCombosKK equity
AA618.1%
KK150.0%
AKs265.9%
A5s466.7%
A4s467.0%

Easiest parts of the range for KK

HandCombosKK equity
KQo691.3%
KJo690.9%
KTo690.4%
K8s288.4%
K5s288.0%

Put KK up against a cutoff opening range — 366 combos, 27.6% of all hands — and the exact answer is 76.7% equity: 76.3% outright wins, 22.9% losses and 0.8% chops. Your own two cards remove 47 of those combos before the flop is even dealt — a blocker effect this number already accounts for, because every combo containing one of your exact cards is stripped out of the range first. You are ahead of 312 of the 319 combos you can still be facing (98%), which is what a 76.7% number actually looks like hand by hand.

Where does the range come from? The cutoff opens roughly a quarter of hands: all pairs and suited aces, suited kings down to K5s, every suited connector and one-gapper, and offsuit broadways down to A8o / KTo / QJo / JTo. Two players behind instead of five is worth more than ten percentage points of width. Broken down hand by hand, KK does worst against AA (18.1%), KK (50.0%) and AKs (65.9%) and best against KQo (91.3%), KJo (90.9%) and KTo (90.4%). Across the whole range KK's equity swings from 18.1% at the bottom to 91.3% at the top — the single 76.7% headline is the combo-weighted average of all of it.

Facing a cutoff opening range, 76.7% is a raise-or-fold number, not a call-and-see number: KK is far ahead of the range as a whole, so building the pot before the flop is worth more than disguising the hand. Against 27.6% of hands, you are priced in against a pot-sized bet (which needs about 33%).

KK vs CO open FAQ

What is KK's equity against a cutoff opening range?

KK has 76.7% equity all-in preflop against a cutoff opening range — it wins 76.3% of runouts outright, loses 22.9% and chops 0.8%. The range holds 366 combos (27.6% of all hands); KK blocks 47 of them, leaving 319 live. This is exact full board enumeration, not a simulation.

Which hands in a cutoff opening range beat KK?

KK is behind 7 of the 319 live combos and ahead of the other 312. The worst matchups are AA (18.1%), KK (50.0%) and AKs (65.9%); its best are KQo (91.3%), KJo (90.9%) and KTo (90.4%). Every figure is exact, computed against that hand's unblocked combos only.

What hands are in a cutoff opening range?

63 hand classes and 366 combos — 27.6% of the 1,326 possible starting hands. By combo count it is 21% pocket pairs (13 pairs, 78 combos), 43% suited hands (39 classes, 156 combos) and 36% offsuit hands (11 classes, 132 combos). That shape is why KK runs at 76.7% against it rather than against a random hand.

Does KK do better against a wider or a tighter range?

Wider, almost always. KK has 78.7% equity against a loose-passive calling range (50.5% of hands) but 59.9% against a 4-betting range (3.2%). Equity against a range is mostly a question of how many weak hands the range still contains — which is why the same holding can be a monster against a button open and a fold against a 4-bet.

Run any hand vs range in the free equity calculator · All hand-vs-range matchups · kk vs 3bet-value · kk vs 3bet-bluff · kk vs 4bet-range · aa vs utg-open · aa vs mp-open · aa vs co-open